Answer:
24; 118; 102
Step-by-step explanation:
Starting from A: there are two ways. One, is a theorem that says "the amplitude of the external angle of a triangle is equal to the sum of the amplitudes of the two angles not sharing the vertex". Which translates to the equation 
which has solution 
.
Problem B is a red herring: x and 118° are corresponding angles related to the two parallel lines with a transversal, and they have the same amplitude, thus 
Finally, letter C : you know the sum of the internal angles of a triangle is 180°. It means that 
or, with simple calculations (subtract 41 and 37 from both sides) 
Y
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
Tap for more steps...
x
y
0
5
5
2
0
Answer:
x = -9
Step-by-step explanation:
-5 = 
- 2
add 2 to both sides:
= -3
multiply both sides by 3:
x = -9
Answer:
250 miles
Step-by-step explanation:
50+.4x=.6x
50=.2x
x=250 miles
The equation of the parabola as described in the task content is; f (x) = -3 (x - 5)² + 9.
<h3>What is the equation of the parabola as described in the task content?</h3>
It follows from the task content that the equation of the parabola which has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f (x) = a (x-h)² + k be determined.
Recall that the vertex of a quadratic equations of the given form is defined by the coordinates (h, k).
On this note, the required equation of the parabola by substitution of h and k is;
f (x) = -3 (x - 5)² + 9.
Read more on vertex form equation;
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